Question

If f(x) equals 2X minus one and g(x) equals 3X plus one fine G(F(X))

Answer 1

To find \( G(F(x)) \), we first need to determine \( F(x) \) and then substitute that result into \( G(x) \).

Given:
- \( F(x) = 2x - 1 \)
- \( G(x) = 3x + 1 \)

Now we'll compute \( G(F(x)) \).

1. **Find \( F(x) \)**:
\[
F(x) = 2x - 1
\]

2. **Substitute \( F(x) \) into \( G(x) \)**:
\[
G(F(x)) = G(2x - 1)
\]
Now substitute \( 2x - 1 \) into \( G(x) \):
\[
G(2x - 1) = 3(2x - 1) + 1
\]

3. **Simplify**:
\[
G(2x - 1) = 6x - 3 + 1 = 6x - 2
\]

Thus, the final result is:
\[
G(F(x)) = 6x - 2
\]